A recipe requires 2 1/2 9mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups of flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes Victor can make using this recipe?
A. 5
B. 6
C. 7
D. 8
E. 9
The OA is A .
I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4..
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Let's start by evaluating how many cakes we can make considering one ingredient at a time.
Flour: If each cake uses 2.5 cups, we can make 2 cakes with 5 cups, and 6 cakes with 15 cups. Right away, we can eliminate everything except A and B.
Sugar: If each cake uses 2.75 cups, we can make 2 cakes with 5.5 cups, and 6 cakes with 16.5 cups. However, we only have 16 cups, so we can only make 5 cakes. We can eliminate B, leaving us with A, which must be our answer.
We can confirm by repeating the process with milk.
Milk: If each cake uses 1.333333 cups, we can make 3 cakes with 4 cups, and 6 cakes with 8 cups. So sugar is still our limiting factor.
Flour: If each cake uses 2.5 cups, we can make 2 cakes with 5 cups, and 6 cakes with 15 cups. Right away, we can eliminate everything except A and B.
Sugar: If each cake uses 2.75 cups, we can make 2 cakes with 5.5 cups, and 6 cakes with 16.5 cups. However, we only have 16 cups, so we can only make 5 cakes. We can eliminate B, leaving us with A, which must be our answer.
We can confirm by repeating the process with milk.
Milk: If each cake uses 1.333333 cups, we can make 3 cakes with 4 cups, and 6 cakes with 8 cups. So sugar is still our limiting factor.
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